On the collision matrix of the lattice Boltzmann method for anisotropic convection-diffusion equations

被引：3

作者：

Guo, Chang ^{[1
]}

Zhao, Weifeng ^{[1
]}

Lin, Ping ^{[1
,2
]}

机构：

[1] Univ Sci & Technol Beijing, Dept Appl Math, Beijing 100083, Peoples R China

[2] Univ Dundee, Div Math, Dundee DD1 4HN, Scotland

来源：

APPLIED MATHEMATICS LETTERS | 2020年 / 105卷

基金：

中国国家自然科学基金;

关键词：

Anisotropic convection-diffusion equations; Lattice Boltzmann method; Collision matrix; Half-way anti-bounce-back scheme; Second-order accuracy; MODEL; ADVECTION;

D O I：

10.1016/j.aml.2020.106304

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we are concerned with the lattice Boltzmann method for anisotropic convection-diffusion equations (CDEs). We prove that the collision matrices of many widely used lattice Boltzmann models for such equations admit an elegant property, which guarantees the second-order accuracy of the half-way anti-bounce-back scheme. Numerical experiments validated our results for both two- and three-dimensional anisotropic CDEs. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：7

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